Class 43 (W 5/5): Exam #5 on Chapters 13, 14, and 15 (3 problems, 50
minute exam, 50 points total).
Problem session for Exam #5: Tues. 5/4, 6pm, in room 147 Altgeld.
Class 42 (M 5/3): practice problems for Exam #5.
Class 41 (F 4/30): finish Chapter 15.
Class 40 (W 4/28): continue Chapter 15.
Other suggested problems: Chapter 15, #25, 29.
Assignment due M 5/3: Chapter 15, #8, 9, 13, 19, 24, 30.
Class 39 (M 4/26): begin Chapter 15.
Class 38 (F 4/23): finish Chapter 14.
Reading: begin reading Chapter 15 for M 4/26.
Class 37 (W 4/21): continue Chapter 14.
Assugnment due M 4/26: Chapter 14, #15, 17, 24, 52, 58.
Class 36 (M 4/19): continue Chapter 14.
Other suggested problems: Chapter 14, #1, 10, 20, 29.
Assignment due M 4/19: Chapter 14, #4, 9, 19, 21.
Extra credit #3 (due in class M 4/19): submit careful, complete, and precisely written solutions to one or two (not more) of the following challenging problems: Chapter 1, #56 (do either the 4 element OR the 6 element case); Chapter 6, #41; Chapter 7, #22 (do either 4n+3 OR 6n+5), 27; Chapter 13, #31, 39, 40; Chapter 14, #51 (you may assume that the infinite series with terms 1/n! converges to e). Up to 10 points credit per problem, up to 20 points total.
Class 35 (F 4/16): Exam #3 on Chapters 7 (with 6 as background), 13, and the first pages of 14 (pp. 271-274). (50 minute exam during the regular class period; 100 points)
Problem session for exam: Thursday, 4/15, 5:15pm, 145 Altgeld Hall.
Class 34 (W 4/14): practice problems for Exam #3.
Class 33 (M 4/12): continue Chapter 14.
Class 32 (F 4/9): finish Chapter 13 and begin Chapter 14.
Reading: begin reading Chapter 14 for Monday (pages 271-274 are
closely connected to Chapter 13).
Class 31 (W 4/7): continue with Chapter 13.
Other suggested problems: Chapter 13, #22bc, 30.
Assignment due M 4/12: Chapter 13, #19, 22a, 23, 28, 29.Class 30 (M 4/5): continue with Chapter 13.
Class 29 (F 4/2): begin Chapter 13 (completeness of R and limits of
sequences).
Reading: for F 4/2 read Chapter 13.
Class 28 (W 3/31): finish Chapter 7.
Other suggested problems: Chapter 7, #6, 13, 31, 45.
Assignment due M 4/5: Chapter 7, #1, 8, 16, 17, 19, 21.
Class 27 (M 3/29): begin Chapter 7.
Reading: for M 3/29 read Chapter 7.
Class 26 (F 3/19): finish Chapter 6.
Class 25 (W 3/17): continue with Chapter 6.
Assignment due M 3/29 (after spring break): Chapter 6, #56ab, 57,
58, 59, 65.
Class 24 (M 3/15): continue Chapter 6.
Extra credit #2 (due in class M 3/15): submit careful, complete, and precisely written solutions to one or two (not more) of the following challenging problems: Chapter 4, #28; Chapter 5, #46, 55, 63, 65; Chapter 6, #50b, 54, 55. Up to 10 points credit per problem, up to 20 points total.
Class 23 (F 3/12): Exam #2 on Chapters 4, 5, 6. (50 minute exam during the regular class period; 100 points)
Problem session for exam #2 (Th 3/11): 5pm in 145 Altgeld Hall.
Class 22 (W 3/10): practice problems for test.
Class 21 (M 3/8): continue Chapter 6.
Class 20 (F 3/5): continue Chapter 6.
Class 19 (W 3/3): begin Chapter 6.
Other suggested problems: Chapter 5, #30, 33, 37; Chapter 6, #4, 22,
30, 50.
Assignment due M 3/8: Chapter 5, #27, 36, 38; Chapter 6, #17, 18,
28, 46.
Reading: for W 3/3 read Chapter 6 (divisibility on the integers and
on polynomials).
Class 18 (M 3/1): finish Chapter 5.
Class 17 (F 2/27): begin Chapter 5.
Class 16 (W 2/25): finish Chapter 4.
Other suggested problems: Chapter 4, #25abc, 27, 32, 43, 46.
Assignment due M 3/1: Chapter 4, #22, 31, 45, 49, 51.
Reading: for F 2/27 read Chapter 5, pages 100-104 plus 5.18, 5.22,
5.27, and 5.28 (combinatorial reasoning).
Class 15 (M 2/23): continue with Chapter 4.
Class 14 (F 2/20): : continue with Chapter 4.
Class 13 (W 2/18): continue with Chapter 4.
Other suggested problems: Chapter 4, #32, 35, 36, and (harder) 20,
30.
Assignment due M 2/23: Chapter 4, #21, 26, 34, 42, 37.
Class 12 (M 2/16): begin Chapter 4.
Extra credit #1 (M 2/16): submit a careful and precisely written
solution to one or two (not more) of the following challenging problems:
Chapter 1, #47, 55, 56; Chapter 2, #27, 54; Chapter 3, #59;
Preface for the Student, #14, 23. Up to 10 points credit per
problem, up to 20 points total.
Class 11 (F 2/13): Exam #1 on Chapters 1, 2, 3. (50 minute
exam during the regular class period; 100 points)
Problem session for exam #1 (Th 2/12): 5pm in 147 Altgeld Hall.
Class 10 (W 2/11): practice problems on Chapters 1, 2, 3.
Assignment due M 2/16: Chapter 3, #55, 56, 57. (These problems concern sequences defined by recurrence, and strong induction is used to prove statements about them. We will need things like this later in the semester. No problem of this kind will be on the 2/13 exam.)
Reading: for M 2/16 read Chapter 4 (bijections and cardinality).
Class 9 (M 2/9): finish Chapter 3.
Class 8 (F 2/6): continue with Chapter 3.
Class 7 (W 2/4): begin Chapter 3.
Other suggested problems: Chapter 3, #17, 33, 47, 49a. (not to be handed in)
Assignment due M 2/9: Chapter 2, #29, 30; Chapter 3, #22, 41,
49c.
Reading: for W 2/4 read Chapter 3 (proof by induction).
Class 6 (M 2/2) finish Chapter 2.
Class 5 (F 1/30): begin Chapter 2.
Class 4 (W 1/28): finish Chapter 1.
Other suggested problems: Exercises
on Elementary Inequalities #1, 2, 6; Chapter 2, #10, 28, 38; all
Propositions on page 17. (not to be handed in)
Assignment due M 2/2: Exercises on Elementary Inequalities #3, 5, 7; Chapter 2, #3, 4abcd; write proofs of items afg in Proposition 1.46 on page 17.
Reading: for F 1/30 read Chapter 2 (quantifiers and compound statements).
Class 3 (M 1/26): continue with Chapter 1.
Class 2 (F 1/23): continue with Chapter 1.
Other suggested problems: Chapter 1, #20, 29, 30, 31, 34, 46a. (not
to be handed in)
Assignment due M 1/26: Chapter 1, #27, 28, 35, 39 (see also
32, 38), 46b.
Reading: for F 1/23 read Chapter 1, especially pages 1-5 and 15-18 (basic algebraic and order properties of the real number system).
Class 1 (W 1/21): begin Chapter 1. Handouts today: course information sheet, questionnaire, and "Exercises on Elementary Inequalities".